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arXiv · 2012.13598

Limit varieties generated by finite non-J-trivial aperiodic monoids

Olga B. Sapir
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Abstract

Jackson and Lee proved that certain six-element monoid generates a hereditarily finitely based variety $\mathbb E^1$ whose lattice of subvarieties contains an infinite ascending chain. We identify syntactic monoids which generate finitely generated subvarieties of $\mathbb E^1$ and show that one of these finite monoids together with certain seven-element monoid generates a new limit variety.

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Olga B. Sapir. 2020-12-25. Limit varieties generated by finite non-J-trivial aperiodic monoids. https://arxiv.org/abs/2012.13598

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